Answer:
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Step-by-step explanation:
yugd oufygp8iuhyefyif hovujm
If a, b and c are the lengths of a right triangle and c is the longest side, then:
We have a = 18cm, b = 24cm and c = 30cm. Substitute and check:
<h3>Answer: It's the right triangle.</h3>
Answer:
Noun. (plural simplified expressions) (mathematics) an expression that has been condensed and shortened, so that all the like terms have been combined.
Step-by-step explanation:
you are welcome!
Answer:
(b) (a) (d) (a) (c)
Step-by-step explanation:
(i) The probability of an even card is 1/2 because the number of even cards and odd cards are the same so there is a 50% of getting an even card. (b)
(ii) Since the card is replaced, there is still a card for all numbers between 1-20. There are 8 prime numbers and 20 cards so the probability of getting a prime number is 8/20 or 4/10 or 2/5. (a)
(iii) The card was not replaced so there are only 19 cards and there are only 5 numbers that are multiples of 3 and greater than 4. The probability must be 5/19. (d)
(iv) A sure event means that it will happen 100%. So P(A) = 1 since the number one represents 100%. (a)
(v) All cards have replaced and there is only one number that is a multiple of 3 and 5 which is 15. 1 card out of 20 is a desired outcome so 1/20 is the probability. (c)
Answer:
Step-by-step explanation:
If you don't consider how the wood might be cut, or how the tray might be assembled, you can look only at the area requirements.
A tray that is 10.5 inches square will have an area of ...
(10.5 in)^2 = 110.25 in^2
That base will have a perimeter that is 4×10.5 in = 42 in. If the perimeter piece(s) are 2 inches high, the area of the sides of the tray will be ...
(42 in)(2 in) = 84 in^2
Then the total area of wood required for the proposed tray is ...
110.25 in^2 +84 in^2 = 194.25 in^2
__
The area of the wood Stephan has is ...
A = LW = (18 in)(12 in) = 216 in^2 . . . . . . more than required
__
Stephan <u>does</u> have enough wood to make the tray, because he has <u>216</u> square inches, which is <u>more</u> than he needs to make the tray, <u>194.25</u> square inches.
